Who can make the required maintenance entry approving the return to service after a progressive inspection performed away from the aircraft's home base?

The correct response highlights the importance of ensuring that a qualified individual conducts maintenance entries, particularly after a progressive inspection away from the aircraft's home base. An applicable certificated mechanic, repair station, or the aircraft manufacturer holds the necessary credentials and knowledge to perform such tasks according to regulatory standards.

A certificated mechanic has received formal training and possesses a valid FAA certification, which enables them to understand the complexities of aircraft systems and regulations surrounding maintenance and safety. A repair station, which is certified by the FAA, also has the authority to carry out these maintenance operations. Moreover, the aircraft manufacturer is equipped with the comprehensive technical expertise and specific knowledge about their aircraft models, making them another qualified entity to certify the return to service.

This combination of training, credentials, and expertise guarantees that maintenance records are accurately documented, ensuring compliance with legal and safety standards. The other responses do not encompass the necessary qualifications and legal requirements mandated by aviation regulations, highlighting why the specified groups in the correct answer are the only ones authorized to make such maintenance entries.